[PDF] Top 20 Multigrid Method for the Numerical Solution of the Modified Equal Width Wave Equation

... The modified equal width wave (MEW) equation introduced by Morrison et ...EW equation with the Galerkin’s method using cubic B-splines as a trial and test ...MEW ... See full document

... the modified equal width wave equation are obtained by using collocation method with septic B-spline finite elements with three different linearization ...tary wave, ... See full document

... Long Wave (RLW) equation ...spectral method and leap frog is applied to the modified equal width wave ...The modified equal width wave ... See full document

... of multigrid techniques is illustrated by Brandt ...this method for initial boundary value problem, except that, the upper boundary conditions change with time, in which the initial con- dition is u x ( ) , ... See full document

... accurate numerical solutions for elliptic partial differential ...equations. Multigrid methods are comprised of different working pieces, or com- ...of numerical approximations to coarser grids, and ... See full document

... integro-differential equation [4], to nonlinear oscillators [5], bifurcation of nonlinear problems [6], bifurcation of delay-differential equations [7], non- linear wave equations [8], boundary value problems ... See full document

... Vries equation, modified Equal Width equation and Benney-Luke Equations are solved by using simple hyperbolic tangent Ansatz ...compatible wave transformation in one dimension is ... See full document

... difference method to solve the GRLW equation for a Cauchy ...quasilinearization method based on finite dif- ferences was used by Ramos [] for solving the GRLW ...GRLW equation with the Adomian ... See full document

... perturbation method and adomian decomposition method have been successfully applied for solving (n+1)-dimensional Equal Width wave equation with damp- ing and diffusion ... See full document

... wavelet multigrid method introduced in [1] is modified by using symmetric biorthogonal wavelet transforms to define the requisite ...on multigrid methods and wavelets is ...wavelet ... See full document

... general solution is known, the exact solution of the fifth order KdV equation has been found for the special case of solitary waves in ...this equation on the basis of numerical cal- ... See full document

... In this section, a sextic spline interpolation S(x) is defined and then we derive some relations to be used in the formulation of the SBSC method for equation (1) with the boundary conditions (2). A ... See full document

... the solution of equation ...presented modified cubic B-spline Differential Quadrature Method for the solution of ...collocation method based on exponential B-spline basis ... See full document

... GRLW equation by finite difference method for a Cauchy ...GRLW equation with Adomian decomposition ...quasilinearization method based on fi- nite differences for solving the GRLW ...GRLW ... See full document

... We establish the symmetry reductions of (2+1)- Dimensional Modified Equal Width Wave Equation is subjected to the Lie’s classical method. Classification of its symmetry algebra ... See full document

... transform method is used to obtain the closed form solution of the (n+1) dimensional Equal Width Wave ...this method the solution is calculated in the form of the ... See full document

... above equation also appeared in [40] as one of the equations associated to nonisospectral scattering ...that Equation (39) possesses the Painleve property. Equation (39) is the modified ... See full document

... the method of lines to obtain the numerical solution of a mathematical model for the roles of endothelial, pericyte and macrophage cells in the initiation of tumor ...This method is an ... See full document

... traveling wave solutions to this linear equation is exhausted by periodic sinusoidal wave ...the wave number k, since . (Note that these wave all propagate to the left ...linear ... See full document

... efficient numerical method is considered for solving the fractional wave equation ...The method is based on La- guerre ...formula. Numerical solu- tions of FWE are given and the ... See full document